Special Issue "Methods in Dynamical Systems, Mathematics of Networks, and Optimization for Modelling in Engineering"

A special issue of Applied Sciences (ISSN 2076-3417).

Deadline for manuscript submissions: 30 June 2021.

Special Issue Editor

Prof. Dr. Ioannis Dassios
Website
Guest Editor
AMPSAS, University College Dublin, D04 Dublin, Ireland
Interests: differential/difference equations; dynamical systems; modelling and stability analysis of electric power systems; mathematics of networks; fractional calculus; mathematical modelling (power systems, materials science, energy, macroeconomics, social media, etc.); optimization for the analysis of large-scale data sets; fluid mechanics; discrete calculus; Bayes control; e-learning
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Special Issue Information

Dear Colleagues,

This Special Issue aims to gather the latest results related to dynamical systems, mathematics of networks, optimization, and their application in the mathematical modeling of engineering problems, such as concerning electrical power systems, materials, energy, any many more.

This Special Issue will accept high-quality papers describing original research results with the purpose of bringing together mathematicians with engineers, as well as other scientists.

The following non-exhaustive list of topics will be covered:

  • Differential/difference equations
  • Partial differential equations
  • Dynamical systems
  • Mathematics of networks
  • Fractional calculus
  • Modeling and stability analysis of power systems
  • Discrete calculus
  • Circuits theory
  • Signal processing
  • Materials science
  • Energy systems

Dr. Ioannis Dassios
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (4 papers)

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Research

Open AccessArticle
Comparison of Numerical Methods and Open-Source Libraries for Eigenvalue Analysis of Large-Scale Power Systems
Appl. Sci. 2020, 10(21), 7592; https://doi.org/10.3390/app10217592 - 28 Oct 2020
Abstract
This paper discusses the numerical solution of the generalized non-Hermitian eigenvalue problem. It provides a comprehensive comparison of existing algorithms, as well as of available free and open-source software tools, which are suitable for the solution of the eigenvalue problems that arise in [...] Read more.
This paper discusses the numerical solution of the generalized non-Hermitian eigenvalue problem. It provides a comprehensive comparison of existing algorithms, as well as of available free and open-source software tools, which are suitable for the solution of the eigenvalue problems that arise in the stability analysis of electric power systems. The paper focuses, in particular, on methods and software libraries that are able to handle the large-scale, non-symmetric matrices that arise in power system eigenvalue problems. These kinds of eigenvalue problems are particularly difficult for most numerical methods to handle. Thus, a review and fair comparison of existing algorithms and software tools is a valuable contribution for researchers and practitioners that are interested in power system dynamic analysis. The scalability and performance of the algorithms and libraries are duly discussed through case studies based on real-world electrical power networks. These are a model of the All-Island Irish Transmission System with 8640 variables; and, a model of the European Network of Transmission System Operators for Electricity, with 146,164 variables. Full article
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Open AccessArticle
Oscillatory Properties of Odd-Order Delay Differential Equations with Distribution Deviating Arguments
Appl. Sci. 2020, 10(17), 5952; https://doi.org/10.3390/app10175952 - 27 Aug 2020
Abstract
Throughout this work, new criteria for the asymptotic behavior and oscillation of a class of odd-order delay differential equations with distributed deviating arguments are established. Our method is essentially based on establishing sharper estimates for positive solutions of the studied equation, using an [...] Read more.
Throughout this work, new criteria for the asymptotic behavior and oscillation of a class of odd-order delay differential equations with distributed deviating arguments are established. Our method is essentially based on establishing sharper estimates for positive solutions of the studied equation, using an iterative technique. Moreover, the iterative technique allows us to test the oscillation, even when the related results fail to apply. By establishing new comparison theorems that compare the nth-order equations with one or a couple of first-order delay differential equations, we obtain new conditions for oscillation of all solutions of the studied equation. To show the importance of our results, we provide two examples. Full article
Open AccessArticle
Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order
Appl. Sci. 2020, 10(14), 4855; https://doi.org/10.3390/app10144855 - 15 Jul 2020
Cited by 1
Abstract
In this article, we study a class of non-linear neutral delay differential equations of third order. We first prove criteria for non-existence of non-Kneser solutions, and criteria for non-existence of Kneser solutions. We then use these results to provide criteria for the under [...] Read more.
In this article, we study a class of non-linear neutral delay differential equations of third order. We first prove criteria for non-existence of non-Kneser solutions, and criteria for non-existence of Kneser solutions. We then use these results to provide criteria for the under study differential equations to ensure that all its solutions are oscillatory. An example is given that illustrates our theory. Full article
Open AccessFeature PaperArticle
On the Asymptotic Behavior of Advanced Differential Equations with a Non-Canonical Operator
Appl. Sci. 2020, 10(9), 3130; https://doi.org/10.3390/app10093130 - 30 Apr 2020
Cited by 9
Abstract
In this paper, we aim to study the oscillatory behavior of a class of even-order advanced differential equations with a non-canonical operator. In addition, we present results on the asymptotic behavior of this type of equations and provide an example that illustrates our [...] Read more.
In this paper, we aim to study the oscillatory behavior of a class of even-order advanced differential equations with a non-canonical operator. In addition, we present results on the asymptotic behavior of this type of equations and provide an example that illustrates our main results. Full article
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